1. Build an exponential function that fits the given data and answer the questions that follow. Be sure to identify the units of time and the reference point t 0. (a) The population of a country was 2 million in 2018. Assuming an annual grow th rate of 4.5% per year, what will the population of the country be in 2025?

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Chapter2: Second-order Linear Odes
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1. Build an exponential functicn that fits the given data and answer the questions that follow. Be sure to identify
the units of time and the reference point t=0.
(a) The population of a country was 2 million in 2018. Assuming an annual grow th rate of 4.5% per year, what
will the population of the country be in 2025?
(b) The number of cells in a petri doubles every 4 weeks, starting with 10 cells. How many weeks will take for
the petri dish to have 1500 cells?
(e) Suppose that a pain killer is removed from the body at a rate of 15% per hour. How many hours does it
take for the amount of painkiller to reach 10% of the initial dose?
Transcribed Image Text:1. Build an exponential functicn that fits the given data and answer the questions that follow. Be sure to identify the units of time and the reference point t=0. (a) The population of a country was 2 million in 2018. Assuming an annual grow th rate of 4.5% per year, what will the population of the country be in 2025? (b) The number of cells in a petri doubles every 4 weeks, starting with 10 cells. How many weeks will take for the petri dish to have 1500 cells? (e) Suppose that a pain killer is removed from the body at a rate of 15% per hour. How many hours does it take for the amount of painkiller to reach 10% of the initial dose?
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